{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "7b8da9de",
   "metadata": {},
   "source": [
    "## Kmeans模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "49fd72d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "class KMeansManual:\n",
    "    def __init__(self, n_clusters=3, max_iter=100, random_state=None):\n",
    "        self.n_clusters = n_clusters\n",
    "        self.max_iter = max_iter\n",
    "        self.random_state = random_state\n",
    "\n",
    "    def fit(self, X):\n",
    "        np.random.seed(self.random_state)\n",
    "        # 随机初始化质心\n",
    "        initial_idx = np.random.choice(len(X), self.n_clusters, replace=False)\n",
    "        self.centroids = X[initial_idx]\n",
    "\n",
    "        for _ in range(self.max_iter):\n",
    "            # 计算每个点到每个质心的距离\n",
    "            distances = np.linalg.norm(X[:, np.newaxis] - self.centroids, axis=2)\n",
    "            # 分配每个点到最近的质心\n",
    "            self.labels_ = np.argmin(distances, axis=1)\n",
    "            # 更新质心\n",
    "            new_centroids = np.array(\n",
    "                [\n",
    "                    (\n",
    "                        X[self.labels_ == i].mean(axis=0)\n",
    "                        if np.any(self.labels_ == i)\n",
    "                        else self.centroids[i]\n",
    "                    )\n",
    "                    for i in range(self.n_clusters)\n",
    "                ]\n",
    "            )\n",
    "            # 如果质心没有变化则停止\n",
    "            if np.allclose(self.centroids, new_centroids):\n",
    "                break\n",
    "            self.centroids = new_centroids\n",
    "\n",
    "    def predict(self, X):\n",
    "        distances = np.linalg.norm(X[:, np.newaxis] - self.centroids, axis=2)\n",
    "        return np.argmin(distances, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "84e07f69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(300, 2)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.metrics import adjusted_rand_score\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成模拟数据\n",
    "X, y_true = make_blobs(n_samples=300, centers=3, cluster_std=0.6, random_state=42)\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "83c3d518",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0,\n",
       "       2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2,\n",
       "       0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2,\n",
       "       2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0,\n",
       "       2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1,\n",
       "       2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0,\n",
       "       0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1,\n",
       "       0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2,\n",
       "       2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2,\n",
       "       0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1,\n",
       "       1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2,\n",
       "       2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0,\n",
       "       2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2,\n",
       "       1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 使用我们自定义的KMeans模型\n",
    "kmeans = KMeansManual(n_clusters=3, max_iter=100, random_state=42)\n",
    "kmeans.fit(X)\n",
    "y_pred = kmeans.labels_\n",
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "eddd5f5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 计算聚类准确率\n",
    "ari = adjusted_rand_score(y_true, y_pred)\n",
    "ari"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cdf1c8f3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adjusted Rand Index: 1.0000\n",
      "Final centroids:\n",
      "[[-2.58361866  9.03185632]\n",
      " [-6.88217395 -6.94243433]\n",
      " [ 4.70421356  1.99562444]]\n"
     ]
    }
   ],
   "source": [
    "# 可视化聚类结果\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred, cmap=\"viridis\", alpha=0.8, edgecolors=\"k\", s=50)\n",
    "plt.scatter(\n",
    "    kmeans.centroids[:, 0],\n",
    "    kmeans.centroids[:, 1],\n",
    "    c=\"red\",\n",
    "    marker=\"X\",\n",
    "    s=200,\n",
    "    label=\"Centroids\",\n",
    ")\n",
    "plt.title(f\"K-Means Clustering (ARI: {ari:.2f})\")\n",
    "plt.legend()\n",
    "plt.grid(True, linestyle=\"--\", alpha=0.7)\n",
    "plt.show()\n",
    "\n",
    "print(f\"Adjusted Rand Index: {ari:.4f}\")\n",
    "print(f\"Final centroids:\\n{kmeans.centroids}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "331ce512",
   "metadata": {},
   "source": [
    "## 高斯混合聚类模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b301670f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import multivariate_normal\n",
    "\n",
    "\n",
    "class GaussianMixtureManual:\n",
    "    def __init__(self, n_components=3, max_iter=100, tol=1e-4, random_state=None):\n",
    "        self.n_components = n_components\n",
    "        self.max_iter = max_iter\n",
    "        self.tol = tol\n",
    "        self.random_state = random_state\n",
    "\n",
    "    def fit(self, X):\n",
    "        np.random.seed(self.random_state)\n",
    "        n_samples, n_features = X.shape\n",
    "\n",
    "        # 初始化参数\n",
    "        # 随机初始化均值（使用数据点作为初始均值）\n",
    "        random_indices = np.random.choice(n_samples, self.n_components, replace=False)\n",
    "        self.means_ = X[random_indices]\n",
    "\n",
    "        # 初始化协方差矩阵\n",
    "        self.covariances_ = np.array(\n",
    "            [np.eye(n_features) for _ in range(self.n_components)]\n",
    "        )\n",
    "\n",
    "        # 初始化混合权重\n",
    "        self.weights_ = np.ones(self.n_components) / self.n_components\n",
    "\n",
    "        # EM算法迭代\n",
    "        log_likelihood_old = -np.inf\n",
    "\n",
    "        for iteration in range(self.max_iter):\n",
    "            # E步骤：计算每个样本属于每个高斯分量的概率\n",
    "            responsibilities = self._e_step(X)\n",
    "\n",
    "            # M步骤：更新参数\n",
    "            self._m_step(X, responsibilities)\n",
    "\n",
    "            # 计算对数似然\n",
    "            log_likelihood = self._compute_log_likelihood(X)\n",
    "\n",
    "            # 检查收敛\n",
    "            if abs(log_likelihood - log_likelihood_old) < self.tol:\n",
    "                break\n",
    "\n",
    "            log_likelihood_old = log_likelihood\n",
    "\n",
    "        # 保存聚类标签\n",
    "        self.labels_ = np.argmax(responsibilities, axis=1)\n",
    "        return self\n",
    "\n",
    "    def _e_step(self, X):\n",
    "        \"\"\"E步骤：计算每个样本属于每个高斯分量的概率\"\"\"\n",
    "        n_samples = X.shape[0]\n",
    "        responsibilities = np.zeros((n_samples, self.n_components))\n",
    "\n",
    "        for k in range(self.n_components):\n",
    "            # 计算多元高斯分布的概率密度\n",
    "            try:\n",
    "                rv = multivariate_normal(mean=self.means_[k], cov=self.covariances_[k])\n",
    "                responsibilities[:, k] = self.weights_[k] * rv.pdf(X)\n",
    "            except np.linalg.LinAlgError:\n",
    "                # 处理协方差矩阵奇异的情况\n",
    "                epsilon = 1e-6\n",
    "                cov_reg = self.covariances_[k] + epsilon * np.eye(X.shape[1])\n",
    "                rv = multivariate_normal(mean=self.means_[k], cov=cov_reg)\n",
    "                responsibilities[:, k] = self.weights_[k] * rv.pdf(X)\n",
    "\n",
    "        # 归一化\n",
    "        responsibilities_sum = responsibilities.sum(axis=1, keepdims=True)\n",
    "        # 避免除以零\n",
    "        responsibilities_sum[responsibilities_sum == 0] = 1e-10\n",
    "        responsibilities /= responsibilities_sum\n",
    "\n",
    "        return responsibilities\n",
    "\n",
    "    def _m_step(self, X, responsibilities):\n",
    "        \"\"\"M步骤：更新参数\"\"\"\n",
    "        n_samples = X.shape[0]\n",
    "\n",
    "        # 计算每个分量的有效样本数\n",
    "        n_k = responsibilities.sum(axis=0)\n",
    "        n_k[n_k < 1e-10] = 1e-10  # 避免除以零\n",
    "\n",
    "        # 更新均值\n",
    "        for k in range(self.n_components):\n",
    "            self.means_[k] = (\n",
    "                np.sum(responsibilities[:, k, np.newaxis] * X, axis=0) / n_k[k]\n",
    "            )\n",
    "\n",
    "        # 更新协方差矩阵\n",
    "        for k in range(self.n_components):\n",
    "            diff = X - self.means_[k]\n",
    "            self.covariances_[k] = (\n",
    "                np.dot(responsibilities[:, k] * diff.T, diff) / n_k[k]\n",
    "            )\n",
    "            # 确保协方差矩阵非奇异\n",
    "            self.covariances_[k] += 1e-6 * np.eye(X.shape[1])\n",
    "\n",
    "        # 更新混合权重\n",
    "        self.weights_ = n_k / n_samples\n",
    "\n",
    "    def _compute_log_likelihood(self, X):\n",
    "        \"\"\"计算对数似然\"\"\"\n",
    "        n_samples = X.shape[0]\n",
    "        log_likelihood = 0\n",
    "\n",
    "        for i in range(n_samples):\n",
    "            likelihood_sample = 0\n",
    "            for k in range(self.n_components):\n",
    "                try:\n",
    "                    rv = multivariate_normal(\n",
    "                        mean=self.means_[k], cov=self.covariances_[k]\n",
    "                    )\n",
    "                    likelihood_sample += self.weights_[k] * rv.pdf(X[i])\n",
    "                except np.linalg.LinAlgError:\n",
    "                    # 处理协方差矩阵奇异的情况\n",
    "                    epsilon = 1e-6\n",
    "                    cov_reg = self.covariances_[k] + epsilon * np.eye(X.shape[1])\n",
    "                    rv = multivariate_normal(mean=self.means_[k], cov=cov_reg)\n",
    "                    likelihood_sample += self.weights_[k] * rv.pdf(X[i])\n",
    "\n",
    "            log_likelihood += np.log(likelihood_sample + 1e-10)  # 避免log(0)\n",
    "\n",
    "        return log_likelihood\n",
    "\n",
    "    def predict(self, X):\n",
    "        \"\"\"预测样本的聚类标签\"\"\"\n",
    "        responsibilities = self._e_step(X)\n",
    "        return np.argmax(responsibilities, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ac57e669",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adjusted Rand Index: 1.0000\n",
      "Final means:\n",
      "[[-2.58361866  9.03185632]\n",
      " [-6.88217395 -6.94243433]\n",
      " [ 4.70421356  1.99562444]]\n",
      "\n",
      "Final weights:\n",
      "[0.33333333 0.33333333 0.33333333]\n"
     ]
    }
   ],
   "source": [
    "# 使用我们自定义的高斯混合聚类模型\n",
    "gmm = GaussianMixtureManual(n_components=3, max_iter=100, random_state=42)\n",
    "gmm.fit(X)\n",
    "gmm_pred = gmm.labels_\n",
    "\n",
    "# 计算聚类准确率\n",
    "gmm_ari = adjusted_rand_score(y_true, gmm_pred)\n",
    "\n",
    "# 可视化聚类结果\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(\n",
    "    X[:, 0], X[:, 1], c=gmm_pred, cmap=\"viridis\", alpha=0.8, edgecolors=\"k\", s=50\n",
    ")\n",
    "plt.scatter(\n",
    "    gmm.means_[:, 0],\n",
    "    gmm.means_[:, 1],\n",
    "    c=\"red\",\n",
    "    marker=\"X\",\n",
    "    s=200,\n",
    "    label=\"Cluster Centers\",\n",
    ")\n",
    "plt.title(f\"Gaussian Mixture Clustering (ARI: {gmm_ari:.2f})\")\n",
    "plt.legend()\n",
    "plt.grid(True, linestyle=\"--\", alpha=0.7)\n",
    "plt.show()\n",
    "\n",
    "print(f\"Adjusted Rand Index: {gmm_ari:.4f}\")\n",
    "print(f\"Final means:\\n{gmm.means_}\")\n",
    "print(f\"\\nFinal weights:\\n{gmm.weights_}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0b0997c2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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